On the enumeration of lattices of determinant one

DOI10.1016/0022-314X(82)90084-1zbMath0496.10023MaRDI QIDQ1170281

N. J. A. Sloane, Conway, John H.

Publication date: 1982

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

enumerationunimodular lattice

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) General binary quadratic forms (11E16)

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Uses Software

• MACSYMA

Cites Work

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• Tables of sphere packings and spherical codes
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• Extremal self‐dual lattices exist only in dimensions 1 to 8, 12, 14, 15, 23, and 24
• Self-dual codes over<tex>GF(3)</tex>and<tex>GF(4)</tex>of length not exceeding 16